Measuring and Improving Cooling System Performance – Part 3: Diffuser
"Diffuser" is one of those terms that lots of car modifiers use but very few understand.
In popular car culture, diffusers are rear bumper garnishes or add-ons that somehow
magically create downforce, and you will find lots of these faux diffusers
available for purchase at online retailers.
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| Wait, this one's a "diffusser." My bad. (Image credit: eBay). |
This
just says that any change in mass inside the system over time must be balanced
by mass carried into and out of it. We'll make a simplifying assumption here,
and in all subsequent posts, that the cooling system is operating at steady
state e.g. at fixed speed and ambient density. In this condition, nothing
changes over time—so all time derivatives disappear (the first term in the
equation is one such time derivative). We'll also approximate the velocity as
one dimensional i.e. we only have velocity in the longitudinal direction in and
out. Apply these and solve the remaining surface integral (which tells us how
much mass is carried along or convected by the flow) and we get,
or
the mass flow through the system—and since mass in must equal mass out, this
rate is a constant. If we assume constant density, this "area rule" says that the
ratio of inlet to outlet area is the same as the ratio of outlet to inlet
velocity,
In order for this to work the duct must not allow mass flow to cross its walls. This is why rear diffusers on cars:
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| 2025 Toyota bZ4X. Even pedestrian cars like this EV sometimes have strakes or vanes on the diffuser panel to improve lateral stability. |
...are "open" diffusers: they allow mass flow in and out along the two sides. True diffusers, as on the Lexus above or on any production car with baffles around the heat exchanger designed to prevent airflow around the core, have clearly defined inlets and outlets.
Our first test will be the
measurement of total pressure loss; taking readings between a freestream probe
and the heat exchanger core will give us the efficiency of the grill and
diffuser combined. Use two total probes (tape a pressure patch to the heat
exchanger face, with the port facing forward) and measure the difference.
The
smaller the difference between the two pressures i.e. the greater the efficiency of the diffuser, the better (we'll see later that smaller drops in
total pressure preserve momentum in the flow, and less momentum loss results in
less drag from cooling). Here, there is room for improvement since total pressure loss is between 50-60% of freestream dynamic pressure, giving diffuser efficiency just above 40% with slight variation by vehicle speed.
Next,
let's compare
static pressure at the diffuser outlet to the total pressure available there to
find the velocity of the air going into the exchanger. In a diffuser with an
infinitely large outlet area, the flow will be stopped completely and static
pressure will equal total pressure at the diffuser outlet/heat exchanger inlet,
a condition called stagnation. If we keep total pressure high by good design
of the diffuser (smooth walls and gentle curves) and velocity low, we can minimize internal drag of the cooling system. Measure this by fixing a pressure patch to the heat exchanger face, again
pointing forward into the flow, and a tube opening taped to the exchanger face
with its end normal to the flow, then recording the difference between them. This
difference is the dynamic pressure of the flow q, which is
directly related to its velocity u (smaller dynamic pressure means lower
velocity and vice versa).
Again, there is some slight variation by speed but not much. This velocity ratio is higher than I would like; we'll see later that internal drag of the cooling system depends on this ratio, and the higher it is, the larger is the internal drag coefficient.
Finally, you should have collected enough data (if you measured atmospheric pressure using a barometer) to calculate the static pressure coefficient at the diffuser outlet/heat exchanger core. The higher this number, the better—since it tells us how much static pressure is recovered from total pressure (the whole point of a diffuser, remember). Calculate this using the same formula as in Part 2:
In the ideal situation, CP = 1: no total pressure loss (100% efficient diffuser), and stagnation achieved at the heat exchanger core. As I mentioned earlier, this cannot happen in real life but we can try to get as close as possible. CP < 0.2, as I found on my car, can probably be improved. We'll revisit this in a few posts.
You
may notice that I have plotted all test results so far not as absolute values
but as ratios or "normalized" coefficients. This often makes information easier
to work with and observe patterns in it, as well as building in agnosticism to
absolute conditions such as ambient temperature. We'll see later that these
ratios—especially the velocity ratio u2/u∞—are
useful in characterizing cooling system performance.
Next
time, the heart of the matter: heat exchangers.
















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